N=4 Supersymmetric BMS3 algebras from asymptotic symmetry analysis

Abstract

We consider three dimensional $N=4$ flat supergravity, with an abelian R-symmetry enhancing the gravitational phase space. We obtain the field configuration whose asymptotic symmetries at null infinity coincide with the centrally extended $N=4$ super Bondi-Metzner-Sachs (BMS) algebra .The killing spinors for this generic configuration are obtained together with the energy bounds imposed by supersymmetry. It is explicitly shown that the same algebra can be obtained as a flat (AdS radius $\to \infty$ ) limit of the combined $(2,0)$ and $(0,2)$ sectors of AdS supergravity.

arXiv comment31 pages

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• Asymptotic structure of the Rarita-Schwinger theory in four spacetime dimensions at spatial infinity
• Supersymmetrization of deformed BMS algebras
• Flatspace Chiral Supergravity
• Asymptotic Symmetry of Four Dimensional Einstein-Yang-Mills and Einstein-Maxwell Theory
• Equivalent Dual Theories for 3D N=2 Supergravity
• Semi-classical BMS-blocks from the Oscillator Construction
• Supersymmetric Galilean conformal blocks
• Dual Theory for maximally $\mathcal{N}$ extended flat Supergravity
• On the $\mathcal{N}=3$ and $\mathcal{N}=4$ superconformal holographic dictionary
• Asymmetric Galilean conformal algebras
• Asymptotic Symmetry and Classical holographic dual of $d{S}_3$ supergravity
• Contractions from Grading